b) The differential equation dq? bp + R dt dt2 3 E(t) %3D describes an electrical...

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b) The differential equation dq? bp + R dt dt2 3 E(t) %3D describes an electrical circuit where q(t) is the charge in coulombs on a capacitor with capacitance C (farad) at time t (second), L inductance (henry), R resistance (ohm), and E(t) electromotive force (volt). Given that L = 2, R = 24, C = 0.005, and E(t) = 12. Find q(t) if the initial charge is q = 0.001 and the initial current is zero. Describe i(t) and q(t) when t → o. dq, (Note: Current, i = (8 marks) dt b) The differential equation dq? bp + R dt dt2 3 E(t) %3D describes an electrical circuit where q(t) is the charge in coulombs on a capacitor with capacitance C (farad) at time t (second), L inductance (henry), R resistance (ohm), and E(t) electromotive force (volt). Given that L = 2, R = 24, C = 0.005, and E(t) = 12. Find q(t) if the initial charge is q = 0.001 and the initial current is zero. Describe i(t) and q(t) when t → o. dq, (Note: Current, i = (8 marks) dt